文章基本信息

标题：Determination of a space-dependent force function in the one-dimensional wave equation
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作者：S. O. Hussein ; D. Lesnic
期刊名称：Electronic Journal of Boundary Elements
印刷版ISSN：1542-3891
电子版ISSN：1542-3891
出版年度：2014
卷号：12
期号：1
语种：English
出版社：Scholarly Communication Center, Rutgers University
摘要：The determination of an unknown spacewice dependent force function acting on a vibrating string from over-specied Cauchy boundary data is investigated numerically using the boundary element method (BEM) combined with a regularized method of separating variables. This linear inverse problem is ill-posed since small errors in the input data cause large errors in the output force solution. Consequently, when the input data is contaminated with noise we use the Tikhonov regularization method in order to obtain a stable solution. The choice of the regularization parameter is based on the L-curve method. Numerical results show that the solution is accurate for exact data and stable for noisy data.
关键词：Inverse force problem;Regularization;L-curve;Boundary element method;Wave equation.